1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ZanzabumX [31]
2 years ago
8

Convert 0.181818 … to a fraction by writing the repeating decimal as an infinite geometric series. Show all of your work (please

)
Mathematics
1 answer:
allsm [11]2 years ago
3 0

0.181818… = 18 (0.010101…)

… = 18 (0.01 + 0.0001 + 0.000001 + …)

… = 18 (1/100 + 1/100² + 1/100³ + …)

… = 18 (1 + 1/100 + 1/100² + 1/100³ + …) - 18

Then you have

0.181818\ldots = \displaystyle18\sum_{k=0}^\infty\frac1{100^k} - 18 = \frac{18}{1-\frac1{100}} - 18 = \boxed{\frac2{11}}

You might be interested in
The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y. What is the meas
iragen [17]
Don’t believe this link
8 0
3 years ago
F(x) = 3x + 9, find f^-1(x)
lianna [129]

Answer:

y=x-9/3

Step-by-step explanation:

f(x)=3x+9

let f(x)=y

y=3x+9

change position of x & y

x=3y+9

rearrange:

x-9=3y

y=x-9/3

6 0
3 years ago
Solve the following quadratic equation 3x²-8x+5=0<br>​
nekit [7.7K]

To solve this equation, let's factor the left side.

Although you can factor it in different ways, I will show you a trick.

First, forget about the 3 and we have x² - 8x + 5.

Now, multiply the 3 by the constant to get 15.

So we have x² - 8x + 15.

Now factor to get (x - 5)(x - 3).

Now divide each of the constants in the

binomials by the leading coefficient, 3.

So we have (x - 5/3)(x - 3/3).

Simplify to get (x - 5/3)(x - 1).

Now move any denominators in front of the x in the binomial.

Moving the 3 in front of the x, we have 3x.

So our answer is (3x - 5)(x - 1) = 0.

So either 3x - 5 = 0 or x - 1 = 0.

Solving from here, we get x = 5/3 or x = 1.

8 0
3 years ago
Factor the expression.<br><br> 15n−18<br><br> Enter your answers in the boxes.<br><br> ( )
Irina18 [472]
Theyre both divisible by 3
15n-18= 3(5n - 6)
5 0
3 years ago
You receive an $80 gift card to a bookstore. Hardback books cost $8 and paperbacks cost $4. Which graph below represents this si
Natasha2012 [34]
The answer is D i had a similar question
6 0
2 years ago
Other questions:
  • 3469131824 what number is next
    14·1 answer
  • Please answer this math question im desperate!! thank you!! will give brainliest!!
    7·2 answers
  • Sam can prepared 20 wall painting in four weeks. How much time will he need to prepare 80 wall painting?
    5·2 answers
  • What’s 1×10×11×20×21×30×31×40×41×50×51×60×61×70×71×80×81×90×91×100
    14·1 answer
  • Kanye runs a small business with three employees. She pays one employee $2300 a month, another $1700 a month, and the third $140
    7·1 answer
  • In 2008, Scott Dixon won the Indianapolis 500, completing 500 laps in approximately 3.5 hours. Approximately how long did it tak
    12·1 answer
  • Can someone help me please!!!!!
    12·1 answer
  • This diagram shows three small squares and two rectangles composed of 10 small squares.
    14·2 answers
  • Simplify<br> √(8+2√15)<br><br> The decimal answer won't work.
    8·1 answer
  • 3x10+4x1+ 5x1/10 +5x1/100+6x1/1000 in standard form
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!